Daniel N. Shanks
Daniel N. Shanks publishes mostly in Algebra and Number Theory, Geometry and Topology and Theoretical Computer Science, on topics such as Analytic Number Theory Research, Advanced Mathematical Identities and History and Theory of Mathematics.
- World rank
- #2,212,460 of 7,710,434 ranked researchers
- Rank in United States
- #663,347 of 1,627,098
- Works
- 136
- Citations
- 3.5k
- Citations per work
- 25.9
What does Daniel N. Shanks research?
Daniel N. Shanks's work is mostly in Mathematics (68%), Computer Science (8%).
Their six largest subfields, inside their fields and domains; the grey slice is everything else they publish. The interactive view splits every one of their works down to single topics.
The fields and subfields, with their numbers
- Physical Sciences10476.3%
- Mathematics9268.0%
- Computer Science118.3%
- Everything else3223.7%
- 1Algebra and Number Theory27% of their works
- 2Geometry and Topology17% of their works
- 3Theoretical Computer Science9% of their works
- 4Computational Theory and Mathematics8% of their works
- 5Mathematical Physics8% of their works
- 6Applied Mathematics7% of their works
Research topics
Which keywords describe Daniel N. Shanks's research?
The keywords of their largest research topics: Modular Forms, Number Theory, Random Matrix Theory, L-Functions, Primes, Riemann Zeta Function, Multiple Zeta Values and q-Series.
- Langlands Conjectures
- Quadrature Methods
- Computability
- Moduli Theory
- Hyperbolic
- Mathematics Education
- q-Series
- Riemann Zeta Function
- L-Functions
- Number Theory
- Modular Forms
- Random Matrix Theory
- Primes
- Multiple Zeta Values
- Historical Sources
- Geometry
- Gromov-Witten Theory
- Algorithmic Information Theory
- Orthogonal Polynomials
- Automorphic Forms
Size is their works in the topics tagged with each word, from their 8 largest topics. Each links to the topic it comes from most. The words come from the keyword list OpenAlex gives each topic, not from the text of the papers, so a word can appear that none of the papers uses.
All 20 words, with their numbers
- Modular Forms893 topics
- Number Theory812 topics
- Random Matrix Theory562 topics
- L-Functions552 topics
- Primes471 topic
- Riemann Zeta Function471 topic
- Multiple Zeta Values341 topic
- q-Series341 topic
- Historical Sources281 topic
- Mathematics Education281 topic
- Geometry211 topic
- Hyperbolic211 topic
- Gromov-Witten Theory191 topic
- Moduli Theory191 topic
- Algorithmic Information Theory111 topic
- Computability111 topic
- Orthogonal Polynomials91 topic
- Quadrature Methods91 topic
- Automorphic Forms81 topic
- Langlands Conjectures81 topic
Where does Daniel N. Shanks work?
Daniel N. Shanks's main affiliation in the publication record is University of Maryland, College Park, United States.
How many publications and citations does Daniel N. Shanks have?
OpenAlex counts 136 works and 3,522 citations for Daniel N. Shanks, an h-index of 24, ranking #2,212,460 of 7,710,434 researchers worldwide on the quality score.
Ranked on field-normalised citation excellence (50%), output (30%) and citations (20%). Counts come from OpenAlex author records, which occasionally merge different people who share a name or split one person into several.
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Discussion
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